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The speed of a boat in still water is 6 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is?Options10 hours4 hours 10 minutes6 hours 10 minutes8 hours

Question

The speed of a boat in still water is 6 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is?Options10 hours4 hours 10 minutes6 hours 10 minutes8 hours

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Solution

To solve this problem, we need to understand that the speed of the boat is affected by the speed of the stream. When the boat is going upstream (against the current), the effective speed of the boat is the speed of the boat in still water minus the speed of the stream. When the boat is going downstream (with the current), the effective speed of the boat is the speed of the boat in still water plus the speed of the stream.

  1. Calculate the effective speed of the boat going upstream: Speed of boat in still water - Speed of stream = 6 kmph - 1.5 kmph = 4.5 kmph

  2. Calculate the effective speed of the boat going downstream: Speed of boat in still water + Speed of stream = 6 kmph + 1.5 kmph = 7.5 kmph

  3. Calculate the time taken to travel the distance upstream: Time = Distance / Speed = 22.5 km / 4.5 kmph = 5 hours

  4. Calculate the time taken to travel the distance downstream: Time = Distance / Speed = 22.5 km / 7.5 kmph = 3 hours

  5. Add the time taken to travel upstream and downstream to get the total time taken: Total time = Time upstream + Time downstream = 5 hours + 3 hours = 8 hours

So, the total time taken by the man to row to a place at a distance of 22.5 km and come back to the starting point is 8 hours.

This problem has been solved

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